leopard7982
03.07.2020 •
Physics
For the instant represented, car A has an acceleration in the direction of its motion, and car B has a speed of 45 mi/hr which is increasing. If the acceleration of B as observed from A is zero for this instant, determine the magnitude of the acceleration of A and the rate at which the speed of B is changing.
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Ответ:
Explanation:
Firstly, there is supposed to be a diagram attached in order to complete this question;
I have attached the diagram below in order to solve this question.
From the data given;
The radius of the car R = 600 ft
Velocity of the car B,
We are to determine the magnitude of the acceleration of A and the rate at which the speed of B is changing.
To start with the magnitude of acceleration A;
We all know that
1 mile = 5280 ft and an hour = 3600 seconds
Thus for ; 1 mile/hr ; we have :
5280 ft/ 3600 seconds
= 22/15 ft/sec
However;
for the velocity of the car B = 45 mi/hr; to ft/sec, we have:
= (45 × 22/15) ft/sec
= 66 ft/sec
A free body diagram is attached in the second diagram showing how we resolve the vector form
Now; to determine the magnitude of the acceleration of A; we have:
Where;
= radial acceleration of B
= tangential acceleration of B
From observation in the diagram; The acceleration of B is 0 from A
So;
Equating the coefficient of i and j now; we have :
From equation (2)
replace with 7.26 ft/s^2; we have
Similarly;
From equation (1)
replace with 10.267 ft/s^2
Ответ:
5.3m/; 7.45m/
Explanation:
the magnitude of a=(change in speed)/(the time took to accelerate to the speed above)
So for that sports car, a=(26.8m/s-0m/s)/(5.1s)=5.2549m/, knowing from the question that the sig fig of this question depend on "5.1 seconds", so the answer should be 5.3 m/
For the rocket, a=(447m/s-0m/s)/(1 minute)=(447m/s)/(60s)=7.45m/