Answer:
a, 7.26kg
b, 36.59N
Explanation:
The question says it swings like a pendulum, as such, we would use the formula for circular acceleration.
a = v²/r
a = 4.2²/3.7
a = 17.64/3.7
a = 4.77m/s²
The acceleration of the ball is directed towards the centre because circular acceleration is usually directed towards the centre
To find tension, recall, F = ma
m = F/a
m = 71.2/9.81
m = 7.26kg
In solving for tension then, we use our acceleration to be (9.81 - 4.77) = 5.04m/s²
Tension = ma
Tension = 7.26 * 5.04
Tension = 36.5904
Hence the tension in the rope is 36.59N
Answer:
The specific heat of aluminium is 897J/kg k . This values is almost 2.3 times of specific heat of copper .
Aluminium has higher thermal capacity than water
Explanation:
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Answer:
2.56 N*m
Explanation:
Torque is force times distance, with the force being perpendicular to the distance.
If the force and distance are not perpendicular, a projection of one of the two must be used instead.
We will use the projection of the length of the shaft upon a perpendicular of the force applied. This will have a magnitude of:
Lh = L * cos(a) (I name it Lh because it is a horizontal projection in this case)
Lh = 0.2 * cos(π/5) = 0.16 m
Then:
T = f * d
T = 16 * 0.16 = 2.56 N*m
Answer:
Motion definition: the action or process of moving or being moved.
Examples:
1. moving a hand
2. riding a bicycle
3. running
Answer:
2.5 seconds
Explanation:
s(t) = -16t^2 + 80t + 384
for
0≤t≤8
First we differentiate s(t) to get s'(t)
s'(t) = -32t + 80
Let us then find the critical point; thus we will equate s'(t) to zero and then search for values where s'(t) is undefined
s'(t) = -32t + 80 = 0
t = 80/32
t = 2.5 sec
Let us evaluate s at the critical points and end points
s(0) = -16(0)^2 + 80(0) + 384 = 384
s(2.5) = -16(2.5)^2 + 80(2.5) + 384 = 684
s(8) = -16(8)^2 + 80(8) + 384 = 0
Thus, the stone attains it maximum height of 684ft at at t=2.5s