Answer:
Explanation:
Let Vc be the velocity of the car and Vm the velocity of the motorcycle. If we convert their given values, we get:
Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s
Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s
Since their positions are equal after 17s we can stablish that:
Where d is the initial separation distance of 54m. Solving for a, we get:
Repacing the values:
Answer:
B
Explanation:
the river is caused by weathering and erosion is the breaking down of rocks
The acceleration of the cart is zero
Explanation:
There are 4 forces acting on the cart:
- The 3 forces of F=15 N each, applied forward by three boys
- The force of F'=45 N applied backward by the horse
So we can write Newton's second law of motion as:
where
m is the mass of the cart
a is its acceleration
Here we have
m = 20 kg
So we can solve the equation for a, the acceleration of the cart:
This means that the acceleration of the cart is zero, because the force applied by the horse perfectly balance the forces applied by the three boys.
Learn more about acceleration and forces:
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Answer:
-92.33 (meaning the objects will not meet above the ground).
Explanation:
We can use the kinematic equation <em>displacement = initial velocity*time + 1/2*acceleration*time^2.</em>
We can plug in the known values of the 2 objects into the equation, where t is the time and x is the displacement:
x = 0*t + 1/2*(-9.8)*t^2+45
x = 8.5*t + 1/2*(-9.8)*t^2
We need to first solve for t to solve for x. Since both equations are equal to x, we can set them equal to each other and solve for t:
0*t + 1/2*(-9.8)*t^2+45 = 8.5*t + 1/2*(-9.8)*t^2
-4.9*t^2 +45 = 8.5*t + -4.9*t^2
45 = 8.5*t
t = 45/8.5 ≈5.294
Now, we can plug t as 5.294 into any of the equations above to solve for x:
x = 0*5.294 + 1/2*-9.8*(5.294)^2+45 ≈ -92.33
That means, the objects will not meet above the ground.