Answer:
When you jump down, your kinetic is converted to potential energy of the stretched trampoline. The trampoline's potential energy is converted into kinetic energy, which is transferred to you, making you bounce up. At the top of your jump, all your kinetic energy has been converted into potential energy. Right before you hit the trampoline, all of your potential energy has been converted back into kinetic energy. As you jump up and down your kinetic energy increases and decrease.
Magnet moving left to right
Answer:
980 J
Explanation:
The change in box's energy is equal to its change in gravitational potential energy:
where
m = 50 kg is the mass of the box
g = 9.8 m/s^2 is the acceleration due to gravity
is the change in height of the box
Substituting numbers, we find
Answer:
293.7 degrees
Explanation:
A = - 8 sin (37) i + 8 cos (37) j
A + B = -12 j
B = a i+ b j , where and a and b are constants to be found
A + B = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
- 12 j = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
Comparing coefficients of i and j:
a = 8 sin (37) = 4.81452 m
b = -12 - 8cos(37) = -18.38908
Hence,
B = 4.81452 i - 18.38908 j ..... 4 th quadrant
Hence,
cos ( Q ) = 4.81452 / 12
Q = 66.346 degrees
360 - Q = 293.65 degrees from + x-axis in CCW direction
Answer:
6.5 m/s^2
Explanation:
The net force acting on the yo-yo is
F_net = mg-T
ma=mg-T
now T= mg-ma
net torque acting on the yo-yo is
τ_net = Iα
I= moment of inertia (= 0.5 mr^2 )
α = angular acceleration
τ_net = 0.5mr^2(a/r)
Tr= 0.5mr^2(a/r)
(mg-ma)r=0.5mr^2(a/r)
a(1/2+1)=g
a= 2g/3
a= 2×9.8/3 = 6.5 m/s^2
