Answer:
The magnitude of the resultant vector is 22.66 cm and it has a direction of 29.33°
Explanation:
To find the resultant vector, you first calculate x and y components of the two vectors M and N. The components of the vectors are calculated by using cos and sin function.
For M vector you obtain:

For N vector:

The resultant vector is the sum of the components of M and N:

The magnitude of the resultant vector is:

And the direction of the vector is:

hence, the magnitude of the resultant vector is 22.66 cm and it has a direction of 29.33°
Answer:
∵ 
Explanation:
The tangential acceleration of a cart moving at a constant speed in a circle is:
The angular velocity is constant when the circular speed is constant.
We know that the (instantaneous) tangential velocity of such object is given by:

Now for angular acceleration we have a constant angular speed:

And angular acceleration is related to tangential acceleration as:


Answer:
Average mass of acar in the US (in kg) = 1440 kg
Explanation:
Average mass of a car in the US (in g) = 1.440 × 10⁶ g
Mass in kg:

<u>Answer</u>
8. 2 Hz
9. 0.5 seconds
10. 20 cm
<u>Explanation</u>
<u>Q 8</u>
Frequency is the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.
In this case, the spring bob up and down 2 times per second.
∴ Frequency = 2 Hz
<u>Q 9</u>
Period is the time taken to complete one oscillation.
2 oscillations takes 1 second
1 oscillation = 1/2 seconds.
∴ Period = 0.5 seconds
<u>Q 10</u>
Amplitude is the the maximum displacement of the spring.
In this case the spring bob up 20 cm. This is it's displacement.
∴ Amplitude = 20 cm
kinematic equation
v squared = u squared + 2 a x s
v= sq root (0 + 2 10 x 65)
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