As we know that acceleration is given as

here we know that



now we will have


so acceleration will be 3 m/s^2
The relationship between the initial velocity, final velociy, distance, and deceleration can be expressed in the following equation.
2(a)(0.270 m) = 0² - (5.70 m/s)²
The value of a (which is the deceleration) is 0.06 m/s². Thus, the answer is that the deceleration value is approximately 0.06 m/s².
Knowing that the greatest horizontal pressure is the pressure made by the material on the wall -considering for that the total height of the wall-, then P = 4.375 t/m
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<u>Available data</u>:
- The wall is 5m long into the plane ⇒ H
- The soil density is 1.4 metric tonnes per cubic metre ⇒ γ
- K = 0.25 ⇒ Coefficient of earth pressure. Depends on the angle.
From this information, we need to calculate the greatest horizontal pressure.
Horizontal pressure refers to the force made by the supported soil on the retaining wall that tends to deflect the wall outward.
We can calculate horizontal pressure at different heights from the top. And since we need to calculate the greatest horizontal pressure, we need to consider the total height that equals the wall height, H.
To do it, we will use the following formula, and replace the terms.
P = [ k
γ H² ] / 2
P = [ 0.25 x 1.4 t/m³ x 5m² ] / 2
P = 8.75/2
P = 4.375 t/m
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Answer: 6700m/s^2 E
Explanation:
Given the following :
Velocity of ball before being hit by a racquet = initial velocity(u) = 55m/s W
Velocity of the ball after being hit = final Velocity (v) = 45m/s E
Time of contact between ball and racquet (t) = 1.5 × 10^-2
The acceleration of a body is the change in Velocity of a body with time. It given by:
Acceleration (a) = [final Velocity(v) - initial velocity(u)] / time(t)
The westward direction is towards the left and thus Velocity takes a negative value, similarly, if it's towards the right, Velocity takes a positive value.
Therefore,
a = [45 - (-55)] / 1.5×10^-2
a = [45 + 55] / 0.015
a = 100 / 0.015
a = 6666.6666 m/s^2
a = 6700m/s^2 E
Since the value of acceleration is positive, the direction is towards the East (acceleration is in the direction of the ball's final Velocity).
Answer:
Current in the toroid will be 
Explanation:
We have given number of winding in rectangular toroid N = 1500
Self inductance of toroid L = 0.06 H
Magnetic energy stored in toroid 
We have to find the current in the toroid
Magnetic energy stored is equal to 


So current in the toroid will be 