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Worksheet: Dynamics Problems

Q1:

A constant 10-N horizontal force is applied to a 20-kg cart at rest on a level floor. If friction is negligible, what is the speed of the cart when it has been pushed 8.0 m?

Q2:

A 4.0-kg particle moving along the -axis is acted upon by the force whose functional form appears in the figure. The velocity of the particle at is .

Find the particle’s speed at .

Find the particle’s speed at .

Find the particle’s speed at .

Q3:

A shot-putter throws a shot of mass 7.26 kg a horizontal distance of 22.2 m.

The shot is released from the shot-putter’s hand 2.20 m vertically above the ground and at an angle above the horizontal. What is the initial speed of the shot?

While in the shot-putter’s hand, the shot is accelerated uniformly over a 1.20 m distance. What net force acted on the shot to accelerate it?

Q4:

A 2.50-kg fireworks shell is fired straight up from a mortar and reaches a height of 110 m above the muzzle of the mortar.

Neglecting air resistance, calculate the shell’s velocity when it leaves the mortar.

The mortar itself is a tube 0.450 m long. Calculate the magnitude of the average acceleration of the shell in the tube as it goes from zero to the velocity at which it leaves the mortar.

  • A m/s2
  • B m/s2
  • C m/s2
  • D m/s2
  • E m/s2

What is the magnitude of the average force on the shell in the mortar?

  • A N
  • B N
  • C N
  • D N
  • E N

Q5:

A rocket sled accelerates at a rate of 49.0 m/s2. Its passenger has a mass of 75.0 kg.

Calculate the horizontal component of the force the seat exerts against his body.

  • A N
  • B N
  • C N
  • D N
  • E N

Find the ratio of the magnitude of the horizontal component with the passenger’s weight.

Calculate the angle from the horizontal of the total force the seat exerts against his body.

Calculate the magnitude of the total force the seat exerts against his body.

  • A N
  • B N
  • C N
  • D N
  • E N

Q6:

Two teenagers are pulling on ropes attached to a tree. The angle between the ropes is . Eric pulls with a force of 400 N and Grace pulls with a force of 300 N.

Find the component form of the net force.

  • A
  • B
  • C
  • D
  • E

Find the magnitude of the resultant (net) force on the tree.

Find the angle the tree makes with Eric’s rope, measured from Eric’s rope.

Q7:

An 85.0-kg-mass basketball player jumps vertically upward to catch a ball. The player lowers his body 0.240 m vertically downward and then accelerates vertically upwards through this distance by straightening his legs. This player launches from the ground with a vertically upward speed sufficient to reach a height of 0.725 m.

At what speed is the basketball player moving vertically upward at the instant that he loses contact with the ground?

What magnitude of average acceleration is produced during the time in which the basketball player straightens his legs?

What magnitude force does the basketball player exert on the floor during the time in which he straightens his legs?

Q8:

An object of mass 2.0 kg has a velocity of m/s at time s. A constant force N acts on the object for 3.0 s. What is the speed of the object after the force has acted on it?

Q9:

What is the net force acting on a particle of mass 5.0 kg that moves with a velocity given by the function

  • A N
  • B N
  • C N
  • D N
  • E N

Q10:

An object is acted on by three simultaneous forces: , , and . The object experiences acceleration of 4.23 m/s2. The object is initially at rest.

Find the mass of the object.

Find the speed of the object after 5.00 s.

Find the components of the velocity of the object after 5.00 s.

  • A m/s2
  • B m/s2
  • C m/s2
  • D m/s2
  • E m/s2

Q11:

A drone is being directed across a frictionless ice-covered lake. The mass of the drone is 1.50 kg, and its velocity is m/s. After 10.0 s, the velocity is m/s. A constant force in the horizontal direction causes this change in motion.

Find the components of the force.

  • A N
  • B N
  • C N
  • D N
  • E N

Find the magnitude of the force.

Q12:

A particle of mass 2.0 kg moves under the influence of the force . If its speed at is , what is its speed at ?

Q13:

A helicopter has a mass of kg. The helicopter’s displacement varies with time according to . Find the net force on the helicopter at s.

  • A N
  • B N
  • C N
  • D N
  • E N

Q14:

A 2.00 kg block (mass 1) and a 4.00 kg block (mass 2) are connected by a light string as shown; the inclination of the ramp is . Friction is negligible.

What is the magnitude of the acceleration of each block (these magnitudes are equal to each other).

What is the magnitude of the tension in the string?

Q15:

A 0.240-kg-mass potato is fired at an angle of above the horizontal from a 0.333-m-long PVC pipe used as a “potato gun”. The potato reaches a height of 87.4 m above the end of the tube from which it is fired.

What is the potato’s speed as it leaves the PVC tube? Assume air resistance is negligible.

What is the magnitude of the average acceleration of the potato while it is in the tube?

  • A m/s2
  • B m/s2
  • C m/s2
  • D m/s2
  • E m/s2

What is the magnitude of the average force exerted on the potato while it is in the tube?

Q16:

A car with a mass of kg accelerates from 0.0 km/h to 66.0 km/h in 8.23 s.

What is the magnitude of the car’s acceleration?

What is the magnitude of the net force on the car?

  • A N
  • B N
  • C N
  • D N
  • E N

Q17:

An object of mass 16.4 kg is moving east at 11.6 m/s. A force acts on the object for 3.50 s, after which the object moves northwest at 11.6 m/s.

What is the magnitude of the average force that acted on the object over the 3.50-s interval?

  • A N
  • B N
  • C N
  • D N
  • E N

At what angle north of west was the average force that acted on the object directed?