Answer:
(a) 7 m
(b) 1 m
Explanation:
Given:
The magnitude of displacement vector 'a' is 3 m
The magnitude of displacement vector 'b' is 4 m.
The vector 'c' is the vector sum of vectors 'a' and 'b'.
(a)
Now, when the angle between the vectors is 0°, it means that the vectors are in the same direction. When vectors are in the same direction, then their resultant magnitude is simply the sum of their magnitudes.
So, magnitude of 'c' when 'a' and 'b' are in same direction is given as:
Therefore, the magnitude of vector 'c' is 7 m when angle between 'a' and 'b' is 0°.
(b)
When the angle between the vectors is 180°, it means that the vectors are exactly in the opposite direction. When the vectors are in opposite direction, then their resultant magnitude is the subtraction of their magnitudes.
So, magnitude of 'c' when 'a' and 'b' are in opposite direction is:
Therefore, the magnitude of vector 'c' is 1 m when angle between 'a' and 'b' is 180°.
Answer:
c) both containers slide off the turntable at the same turntable speed.
Explanation:
The greater the mass of the cylinder, the greater the centrifugal force acting on it. That makes up for the greater force needed to move the heavier cylinder.
Answer:
R = 400 ohms.
Explanation: Voltage of the battery, V = 40 V. Current in the unknown resistor I = 100mA. Let R is the resistance of the resistor. It can be calculated using Ohm's law it gives the relationship between the voltage, resistance and current.. R = V/I. R = 40 V/10-¹A. R = 400 Ohm's. So, the value of the resistance of the resistor is 400 Ohm's
<u>Answer:</u>
Ranks based on momentum are
<em>1. </em><em>1200 kg car going at 15 m/s.</em>
<em>2.</em><em> 15 kg meteor going at a speed of 100 m/s.</em>
<em>3. </em><em>100 kg person running at 5 m/s.</em>
<em>4.</em><em> 10000 kg train car at rest.</em>
<u>Explanation:</u>
Product of a body’s mass and velocity gives the value of its momentum. It is given by the equation
where is the mass of the object and is the velocity.
Calculating the values of momentum:
1. mass= 1200 kg, velocity= 15 m/s
2. mass= 15 kg, velocity= 1000 m/s
3. mass= 100 kg, velocity= 5 m/s
4. mass= 1000 kg, velocity= 0 m/s
Answer:
Nucleus
- Rutherford predicted that an atom had a dense core called a nucleus.
