Answer:
speed is -20.0155 m/s
and direction is downward
Explanation:
given data
mass of rocket = 1500 kg
rocket accelerates upward = 10 m/s²
time t = 2 s
maximum height = 530 m
to find out
speed and direction of the heavier fragment just after the explosion
solution
we use here principle of conservation of momentum that is
Mt Vt=M1 V1 + M2 V2 ................1
so here
first we find the initial velocity that is express as
v = a × t .....................2
v = 10 × 2
v = 20 m/s
and distance S
S =u × t + 0.5 × a × t² ...................3
S = 0 + 0.5 × 10 × 2²
S = 20 m
and now we find speed of the lighter piece that is
v² = v1² + 2 × a × S .................4
0 = v1² + 2 × -9.81 × (530-20)
v1² = 10006.2
v1 = 100.031 m/s
so now put all these in equation 1 we get
Mt Vt = M1 V1 + M2 V2
1500 × 20 = (1500 × 1/3 ) × 100.031 + (1500 × 2/3) + V2
30000 = 50015.5 + 1000 V2
V2 = -20.0155 m/s
so speed is -20.0155 m/s
that mean vertical component of second fragment will be move downward
The effiency of a machine is
(output work or energy) / (input work or energy) .
For the system described in the question, that's
(123 J) / (150 J) = 0.82 = 82% .
Answer:
Increase Water Consumption
Try a New Diet
Help Your Cat Maintain a Healthy Weight
Increase Exercise and Enrichment
Minimize Stress and Anxiety
Add More Litter Boxes
Try Fiber or Probiotics
Ask Your Vet About Over-the-Counter Laxatives
Explanation:
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Hope this helps ;)</em></h2>
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Answer:
Part a)
When rotated about the mid point
Part b)
When rotated about its one end
Explanation:
As we know that the angular acceleration of the rod is rate of change in angular speed
so we will have
Part a)
When rotated about the mid point
now torque is given as
Part b)
When rotated about its one end
now torque is given as