a. A 10.0 kg object has an initial velocity of (5.0i + 3.0j) m/s. What is its kinetic energy at this time? KE = ½ mv² where v² = V.V

The force shown in the figure(Figure 1) acts on a 1.3-kg object whose initial speed is 0.35 m/s and initial position is x=0.27m. a. Find the speed of the object when it is at the location x=0.99 m. b. At what location would the object's speed be 0.25 m/s?

A 55 kg snowboarder begins his run at the top of a 50.0 m tall hill with a speed of 0.5 m/s. What is the speed of the snowboarder at the bottom of the hill?

If the speed of a particle is doubled, what happens to its kinetic energy? a. It will be half. b. It will be square root of twice as large. c. It will be four times bigger. d. It does not change e. It will be twice as big.

Q 1

A block with a mass of 2-kg is used to compress a spring x= 60 cm. The spring constant of the spring k = 200 N/m. After the block released , it slides along a level surface until comes to the bottom of a incline (0 = 20° ). If µk between the block and level and in cline surfaces is 0.2 (uk = 0.2 ). a. What is the speed of block the bottom of incline? b. What maximum height does the block slide? k=200N/m h =? Kx=60cm 2kg Hu=0.2 h=? HK = 0.2 e = 20° V. K-d=10m

A diver of mass 68 kg stands on a diving board 5.0 m above a pool. At the moment of the jump, the diving board transfers its 3400 J of energy to the diver, who leaves the board at an angle of 35°. a. What is the speed of the diver just before they enter the water? b. Suppose that when the diver enters the water, they experience an acceleration of a->water= +4 m/ss J. What is the minimum depth of the pool necessary so that this diver comes to rest exactly at the bottom of the pool

A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules?  b. What is the work done by friction, in joules?  c. What is the work done by gravity, in joules?  d. What is the net work, in joules?

036. A 1.50 kg model train initially traveling at 0.50 m/s acceler- ates to 1.00 m/s in 10. s. a. What is the change in the train's kinetic energy? b. How much power was expended to accelerate the train?

A particle of mass m has a velocity of v = (v₂i + vj + v₂k). What is the correct expression for its kinetic energy? O a. O b. O c. O d. O e. m(v2i+vy²j + v₂²k)/2 None of these choices. m(vx2 + Vy² + V₂²)/2 m/2(2vx + 2Vy + 2V₂) m/2(2v,i + 2vj + 2v₂k)