For a hoop of mass M and radius R that is rolling without slipping, which is lar

Question

For a hoop of mass M and radius R that is rolling without slipping, which is larger, il's translational kinetic energy, or its rotational kinetic energy a. translaiional kinetic energy is larger b. rotational kinetic energy is larger c. both are the same d. the answer depends on the radius e. the answer depends on the mass 23. Negative work by an applied force implies that a. the kinctic energy of the object increases b. the applied force is variable c. the applied force is perpendicular to the displacement d. the applied forcc has a component that is opposite to the displacement e. nothing, there is no such thing as negative work 24. A space probe leaves the solar system to explore interstellar space. Once it is far from any stars, when must it fire its rockets? a. all the time, in order to keep moving b. only when it wanll to speed up c. when it wauls to speed up or slow down d. only when it wants to turn e. when it wants to speed up, slow down, or turn 25. A disk is free to rotate about an axis. A forcc applied a distance d from the axis causcs an angular acceleration alpha. What angular acceleration is produced if the same force is applied a distance 2d from the axis? a. a b. 2a c. a/2 d. 4a c. a/4

Explanation / Answer

22)

correct option is b ( both are the same)

here,

K.E=1/2*m*v^2

R.E=1/2*I*w^2

here, I=m*r^2 ( for hoop)

R.E=1/2*(m*r^2)*(v^2/r^2)

R.E=1/2*m*v^2

there fore K.E=R.E

23)

correct option is (d)

because,

W=F.S

W=F*s*cos(theta)

if theta=180 degrees,

W=-F*s

24)

the correct option is (e)

because to chage the velocity

25)

correct option is (b)

here,

anular acceleration is =2*alpa

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