Answer:
a) = 3.94 m
b) = 3.15 m
Explanation:
Given
Mass of the block, m = 242 g
Force constant, k = 1.62 kN/m
Compression of the spring, x = 10 cm
Angle of inclination = 60°
a) if we equate the energy at the bottom of the ramp to the energy at a distance d up the ramp, we have
1/2kx² = mgh where, h = dsinΦ
1/2kx² = mgdsinΦ
1/2 * 1.62*10^3 * 0.1² = 0.242 * 9.8 * dsin 60
1/2 * 16.2 = 2.3716 * d sin 60
d sin 60 = 8.1 / 2.3716
0.866 d = 3.415
d = 3.415 / 0.866
d = 3.94 m
b) net force on the block = mgd sin 60 + µ mgd cos 60
8.1 = d[mg sin 60 + µ mg cos 60]
8.1 = d [0.242 * 9.8 * 0.866 + 0.44 * 0.242 * 9.8 * 0.5]
8.1 = d (2.05 + 0.52)
8.1 = 2.57 d
d = 8.1 / 2.57
d = 3.15 m
Given:
Object in circular motion 25 m/s
1 second to go quarter circle
Required:
Centripetal acceleration:
Solution:
Acceleration = v2/r
Where v is the velocity and r is
the radian
Substituting the values into the
equation,
Acceleration = v2/r = (25
m/s)2/(4*pi/180) = 8952.47 m2/s2
Answer:
A professional basketball game depends on the association presiding over the game. An NBA game lasts for 48 minutes whereas FIBA games take 40 minutes. The total time taken to play for any specialized game is over 2 hours 15 minutes. The time includes the time disruptions like fouls, timeouts, and breaks.
<em>I hope it helps you...</em>
