Questions 4 through 6 pertain to the situation described below: A 31.0-kg skateboarder rides on a 10.0-kg skateboard at 5.7 m/s on a level road before jumping into air with a speed of 10.0 m/s against the ground in the direction of 27.0° above the forward, horizontal direction to leave the skateboard. Ignore air resistance and the friction between the road and skateboard. (4) What is the maximum height that the skateboarder can reach? (A) 1.05 m; (B) 1.25 m; (C) 1.45 m; (D) 1.65 m; (E) 1.85 m. (5) What is the speed of the skateboard on the ground after the jump? (A) 3.85 m/s; (B) 4.05 m/s; (C) 4.25 m/s; (D) 4.45 m/s; (E) 4.65 m/s. (6) What is the minimum work done by the skateboarder to make the jump? (A) 994 J; (B) 974 J; (C) 954 J; (D) 934 J; (E) 914 J.

icon
Related questions
Question
Questions 4 through 6 pertain to the situation described below:
A 31.0-kg skateboarder rides on a 10.0-kg skateboard at 5.7 m/s on a level road before jumping
into air with a speed of 10.0 m/s against the ground in the direction of 27.0° above the forward,
horizontal direction to leave the skateboard. Ignore air resistance and the friction between
the road and skateboard.
(4) What is the maximum height that the skateboarder can reach?
(A) 1.05 m; (B) 1.25 m; (C) 1.45 m; (D) 1.65 m; (E) 1.85 m.
(5) What is the speed of the skateboard on the ground after the jump?
(A) 3.85 m/s; (B) 4.05 m/s; (C) 4.25 m/s; (D) 4.45 m/s; (E) 4.65 m/s.
(6) What is the minimum work done by the skateboarder to make the jump?
(A) 994 J; (B) 974 J; (C) 954 J; (D) 934 J; (E) 914 J.
Transcribed Image Text:Questions 4 through 6 pertain to the situation described below: A 31.0-kg skateboarder rides on a 10.0-kg skateboard at 5.7 m/s on a level road before jumping into air with a speed of 10.0 m/s against the ground in the direction of 27.0° above the forward, horizontal direction to leave the skateboard. Ignore air resistance and the friction between the road and skateboard. (4) What is the maximum height that the skateboarder can reach? (A) 1.05 m; (B) 1.25 m; (C) 1.45 m; (D) 1.65 m; (E) 1.85 m. (5) What is the speed of the skateboard on the ground after the jump? (A) 3.85 m/s; (B) 4.05 m/s; (C) 4.25 m/s; (D) 4.45 m/s; (E) 4.65 m/s. (6) What is the minimum work done by the skateboarder to make the jump? (A) 994 J; (B) 974 J; (C) 954 J; (D) 934 J; (E) 914 J.
Expert Solution
Step 1

4) The maximum height reached by skateboarder,

H=u2sin2θ2g

On substituting the values,

H=102 sin227°2×9.81

H=1.05 m

The correct option is a.

Step 2

5) The speed of skateboard after man jump is v

The momentum conservation in direction of motion is δT

The speed of the skateboard is,

(31+10) ×5.7=31×10 cos 27° +10×v

v=-4.25 ms

Option c is correct.

steps

Step by step

Solved in 3 steps

Blurred answer