All matter is composed of atoms, indestructible building blocks.
Bad, it's bring more hatred to the world
Answer: a) 0.000093 kg.m²
b) height of the can not required
Explanation:
It is placed at rest on its side, initial velocity = 0
s = ½ a t²
3 = ½ a 1.5²
a = 2.667 m/s²
torque T = f R = μ m g R cos Φ
according to Newton's second law of rotational motion,
T = I α = I (a/R) = μ m g R cos Φ
μ = I a/(R²m g cos Φ)
∑F = m a
m g sin Φ - μ m g cos Φ = m a
canceled all m, and remember that μ = I a/(R²m g cos Φ)
g sin Φ - I a/(R²m g cos Φ) g cos Φ = a
g sin Φ - I a/(R²m) = a
9.8 sin 24° - I (2.667)/(0.0319² * 0.205) = 2.667
3.86 - I x 2.667/0.000208 = 2.667
3.86 - 12822 x I = 2.667 m
I = 3.86 - 2.667 / 12822 = 1.193 / 12822 = 0.000093 kg.m²
The force that causes centripetal acceleration of a car making a turn on a flat road is friction
The centripetal acceleration is required to create a centripetal force. The centripetal force that cause an object to turn in a circular path is due to the force of friction between the tyres and the road. The magnitude of centripetal force is numerically equal to the magnitude of frictional force.
Fc = f
m v² / r = μ N
Fc ∝ 1 / r
The larger the centripetal force the the smaller the radius of curvature.
Therefore, the force that causes centripetal acceleration of a car making a turn on a flat road is friction
To know more about centripetal force
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The ball's initial velocity must be 28.0 m/s
Explanation:
The motion of the ball in this problem is a projectile motion, so it follows a parabolic path, consisting of two separate motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
First, we study the vertical motion of the ball: since it is a uniformly accelerated motion, we can use the suvat equation to find the time it takes for the ball to reach the ground,
where
s = 40 m is the vertical displacement, the height of the cliff (we chose downward as positive direction)
u = 0 is the initial vertical velocity of the ball
t is the time of flight of the ball
is the acceleration of gravity
Solving for t, we find:
Now we can analyze the horizontal motion: since this is a uniform motion, the horizontal speed is constant, and it is given by
where:
d = 80 m is the horizontal distance covered by the ball
t = 2.86 s is the time of flight
Substituting,
Learn more about projectile motion:
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