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Physics Chapter 4 : Topic 6
Centripetal Force in Circular Motion
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In circular motion, centripetal force is:
Reasoning: Centripetal force is the inward net force responsible for maintaining circular motion.
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Centripetal force is required because:
Reasoning: Without an inward force, an object continues along a tangent due to inertia.
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Which statement about centripetal force is correct?
Reasoning: Gravity, friction, tension, and normal forces can provide centripetal force.
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The direction of centripetal acceleration is:
Reasoning: Centripetal acceleration always points inward.
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An object moving with constant speed in a circular path is accelerating because:
Reasoning: Acceleration occurs due to a change in velocity direction.
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A stone tied to a string and rotated in a horizontal circle experiences centripetal force due to:
Reasoning: The tension in the string pulls the stone toward the center.
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If the string holding a rotating stone breaks, the stone moves:
Reasoning: The stone continues in its instantaneous direction due to inertia.
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A ball attached to a string moves in a circle. The tension force is maximum when:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}$ ; Greater speed requires greater inward force
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In a vertical circular motion of a stone attached to a string, the string tension is generally:
Reasoning: At the bottom, tension must provide centripetal force plus support weight.
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The force keeping the Moon in orbit around Earth is similar to tension because both:
Reasoning: Both can act as inward forces maintaining circular motion.
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A car moving around a circular road requires centripetal force provided by:
Reasoning: Friction supplies the inward force needed for turning.
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If friction between tires and road is insufficient, a turning car will:
Reasoning: Without enough centripetal force, the car follows its natural straight-line path.
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A car moving faster around a curve requires:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}$ ; Higher speed requires greater centripetal force.
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On a slippery road, a car has difficulty turning because:
Reasoning: Less friction means insufficient inward force.
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A cyclist leaning inward while turning helps because:
Reasoning: Leaning allows the resultant force to act toward the center.
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The force that keeps planets in orbit around the Sun is:
Reasoning: Solar gravitational attraction provides centripetal force.
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An artificial satellite remains in orbit because:
Reasoning: Earth’s gravity continuously pulls the satellite inward.
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If Earth’s gravitational force suddenly disappeared, a satellite would:
Reasoning: Without centripetal force, inertia causes straight-line motion.
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The Moon does not fall directly onto Earth because:
Reasoning: The Moon is continuously falling toward Earth while moving forward.
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A car on a banked road receives centripetal force partly from:
Reasoning: The horizontal component of normal force provides inward force.
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On a properly banked road, friction is reduced because:
Reasoning: The tilted normal force has an inward component.
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A roller coaster moving through a vertical loop experiences centripetal force due to:
Reasoning: Both gravity and track force contribute to the inward force.
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At the top of a vertical loop, the required centripetal force is directed:
Reasoning: The center of the circular path is below the object.
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A $\mathbf{2\ kg}$ object moves in a circle of radius $\mathbf{4\ m}$ with speed $\mathbf{6\ m/s}$. The required centripetal force is:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}\mathbf{=}\frac{\mathbf{2(36)}}{\mathbf{4}}\mathbf{= 18\ N}$
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A $\mathbf{5\ kg}$ car moves around a curve of radius $\mathbf{10\ m\ }$at $\mathbf{20\ m/s}$. Required centripetal force is:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}\mathbf{=}\frac{\mathbf{5(400)}}{\mathbf{10}}\mathbf{= 200\ N}$
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If the speed of a vehicle doubles while turning on the same road, required friction becomes:
Reasoning: Centripetal force depends on velocity squared.
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A $\mathbf{1000\ kg}$ car moving on a circular track requires $\mathbf{5000\ N}$ centripetal force. If speed increases, the force:
Reasoning: Higher velocity requires greater inward force.
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A stone of mass $\mathbf{1\ kg}$ tied to a string rotates at speed $\mathbf{5\ m/s}$ in a circle of radius $\mathbf{2\ m}$. Tension is:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}\mathbf{=}\frac{\mathbf{1(25)}}{\mathbf{2}}\mathbf{= 12.5\ N}$
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A planet moving closer to the Sun experiences stronger gravitational force because:
Reasoning: Gravitational force increases when distance decreases.
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Which situation correctly matches the force providing centripetal force?
Reasoning: String tension provides inward force for circular motion.
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A passenger feels pushed outward when a car turns because:
Reasoning: The body resists the change in direction.
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Increasing the radius of circular motion while keeping speed constant will:
Reasoning: $\mathbf{F}_{\mathbf{c}}\mathbf{=}$ $\frac{\mathbf{m}\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}$ ; Force decreases as radius increases.
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A force acting as centripetal force must always be:
Reasoning: Centripetal means center-seeking.
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In circular motion, if centripetal force increases, the possible result is:
Reasoning: Greater inward force can maintain a smaller radius or higher speed.
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The same physical force can act as centripetal force because:
Reasoning: Any inward net force can serve as centripetal force.
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Which statement best explains circular motion?
Reasoning: Centripetal force changes velocity direction and maintains circular motion.
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