Answer:
28.2 kg
Explanation:
Data provided in the question:
Mass of dog, m = 9.4 kg
Velocity of the dog with respect to water, v = 0.48 m/s
Velocity of the canoe, V = - 0.16 m/s [ - sign means velocity in opposite direction]
Now,
Let the mass of canoe be 'M'
Therefore,
From the conservation of momentum, we have
⇒ mv + MV = 0
or
⇒ 9.4 × 0.48 + M(- 0.16) = 0
or
⇒ 4.512 - 0.16M = 0
or
⇒ 0.16M = 4.512
or
⇒ M = 28.2 kg
Answer:
Option C
The vectors are perpendicular
Explanation:
Acceleration will be directed towards the center for uniform circular motion. Consequently, velocity of the object increases hence acceleration. The direction of velocity is tangent to its circular motion, therefore, tangential velocity vector is perpendicular to centripetal acceleration vector. Therefore, comparing the direction of the object, the vectors are perpendicular to each other.
Answer:
The final pressure of the whole system is 34.80 atm.
Explanation:
Given that,
Volume = 45.0 ml
Volume of first bulb = 77.0 mL
Pressure = 8.89 atm
Volume of second bulb = 250 mL
Pressure = 2.82 atm
Volume of third bulb = 21.0 mL
Pressure = 8.42 atm
We need to calculate the final pressure of the whole system
Using formula of pressure

Where,
= pressure of first bulb
= pressure of second bulb
= pressure of third bulb
= initial pressure of tube
= Volume of first bulb
=Volume of second bulb
= Volume of third bulb
= Initial volume of tube
Put the value into the formula



Hence, The final pressure of the whole system is 34.80 atm.