A circus performer is shot out of a cannon angled 40◦ above the ground at 8.4 m/s. What is the maximum height the circus performer reaches above the cannon assuming air resistance is negligible?
A. 1.5 m
B. 3.0 m
C. 4.2 m
D. 5.4 m
2. Maryam rides her bicycle 51 m east, and then turns and rides 68 m north. What is her displacement from her starting position?
A. 17 m
B. 85 m
C. 92 m
D. 140 m
Solution:
1.
As we know;
Hmax = vo2sin2(θ) / (2 g)
=> Hmax = (8.42 x sin240) / 2 x 9.81
=> Hmax = 1.486 m
(A)
2.
Using vector addition;
D = √(51)2 + (68)2
=> D = 85 m
(B)
A circus performer is shot out of a cannon angled 40◦ above the ground at 8.4...
You need to aim a cannon for a circus act. A performer will be shot out of a cannon, pass through the hoop at her maximum height, and then land safely in a net. The net is 86 meters away from the cannon and the loop is 30 meters above the cannon and the net. If the performer will fly out of the cannon at 30 m/s, then at what angle should the cannon be fired? The answer is 55...
The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1400 N/m that he will compress with a force of 4200 N . The inside of the gun barrel is coated with Teflon, so the average friction force...
The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1300 N/m that he will compress with a force of 3900 N . The inside of the gun barrel is coated with Teflon, so the average friction force...