Uniform Circular Motion

The term centripetal means…….

• Circular Motion

• Center-seeking

• Center-Fleeing

• Constant Motion

The direction of acceleration and the centripetal force is always towards….

• The center

• Tangential

• Outward

4. What is the direction of the acceleration and velocity of the object traveling clockwise below?

• Acceleration is towards the center, velocity is tangential.

• Acceleration is tangential, velocity is towards the center.

• Both acceleration and velocity are towards the center.

• Both acceleration and velocity are tangential.

Tags

NGSS.HS-PS2-1

5. A ball with a mass of 2 kg is attached to a string and is swung in a horizontal circle with a radius of 0.5 meters. If the ball moves with a tangential velocity of 4 m/s, what is the centripetal force on the ball?

• 8 N

• 16 N

• 32 N

• 64 N

Answer explanation

Centripetal force (Fc) is calculated using the formula Fc = (mv^2)/r. Here, m = 2 kg, v = 4 m/s, and r = 0.5 m. Thus, Fc = (2 * 4^2) / 0.5 = 32 N. Therefore, the correct answer is 32 N.

Tags

NGSS.HS-PS2-1

6. A race car with mass 500 kg drives around a track that has a radius of 25 m. If the car experiences a net centripetal force of 50 N, what is the velocity of the race car?

• 1 m/s

• 1.6 m/s

• 2.2 m/s

• 4.5 m/s

Answer explanation

To find the velocity, use the formula F = mv^2/r. Rearranging gives v = sqrt(F*r/m). Plugging in F = 50 N, r = 25 m, and m = 500 kg results in v = sqrt(50*25/500) = 2 m/s, which is the correct answer.

Tags

NGSS.HS-PS2-1

7. A hockey puck with mass 3.5 kg is swung in a horizontal circle. If the puck has a tangential velocity of 5 m/s and experiences a net centripetal force of 28 N, what is the puck's distance from the center of the circular path?

• 2.7m

• 3.1 m

• 1.6 m

• 4.5 m

Answer explanation

To find the distance from the center, use the formula for centripetal force: F = mv^2/r. Rearranging gives r = mv^2/F. Substituting m = 3.5 kg, v = 5 m/s, and F = 28 N results in r = (3.5 * 25) / 28 = 2 m.

Tags

NGSS.HS-PS2-1

8. A truck is traveling around a circular turn with a tangential velocity of 40 m/s. If the radius of the turn is 20 m and the truck experiences a centripetal force of 18,000 N, what is the mass of the truck?

• 200 kg

• 225 kg

• 500 kg

• 275 kg

Answer explanation

To find the mass of the truck, use the formula for centripetal force: F = mv^2/r. Rearranging gives m = Fr/v^2. Substituting F = 18000 N, v = 40 m/s, and r = 20 m results in m = 500 kg, which is the correct answer.

Tags

NGSS.HS-PS2-1

Organize these options into the right categories

Groups:

(a) Stays the Same

,

(b) Changes

• The distance from the center of the circular path

• The speed of the object in uniform circular motion

• The velocity of the object

• The mass of the object

• The acceleration of the object

• The direction of the centripetal force

• The direction of the object's motion

Tags

NGSS.HS-PS2-1