1.Which diagram correctly shows the direction of the normal and gravitational fo

Question

1.Which diagram correctly shows the direction of the normal and gravitational forces on the car making a turn on a banked road? 2.The net force on the cart at point C is A) N+mg B) N-mg C) N F) Both Choice A and E D) mg E) mv VR 3. A roller coaster car (above) is on a track that forms a circular loop of radius R in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its velocity at this point? A. gR B. 0.5 gR C. g/R D. 2gR. E. (gR)'" 4. A box is placed on the floor at the edge of a merry-go-round of radius 4.0 m The coefficient of static friction between the box and the floor is 0.10. Determin the maximum tangential speed of the merry-go-round so that the box does not slide off. s c.3 m/s D. 5 m/s E. 100 m/s

Explanation / Answer

1. Normal force is always perpendicular to the surface,

and gravitational force is always vertically downwards.

Ans. (D)

2. Fnet = N + m g

and Fnet = m a and a = v^2 / R

Fnet = m v^2 / R

Ans(F)

3. N + m g = m v^2 / R

for v_minimum, N = 0

m g = m v^2 / R

v = sqrt(g R)

Ans(E)

4. a = u g

v^2 / r = u g

v = sqrt(4 x 0.1 x 9.8) = 2m/s

Ans(B)

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.