Answer:
The radius of the curve that Car 2 travels on is 380 meters.
Explanation:
Speed of car 1, ![v_1=65\ km/h](https://tex.z-dn.net/?f=v_1%3D65%5C%20km%2Fh)
Radius of the circular arc, ![r_1=95\ m](https://tex.z-dn.net/?f=r_1%3D95%5C%20m)
Car 2 has twice the speed of Car 1, ![v_2=130\ km/h](https://tex.z-dn.net/?f=v_2%3D130%5C%20km%2Fh)
We need to find the radius of the curve that Car 2 travels on have to be in order for both cars to have the same centripetal acceleration. We know that the centripetal acceleration is given by :
![a=\dfrac{v^2}{r}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%5E2%7D%7Br%7D)
According to given condition,
![\dfrac{v_1^2}{r_1}=\dfrac{v_2^2}{r_2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bv_1%5E2%7D%7Br_1%7D%3D%5Cdfrac%7Bv_2%5E2%7D%7Br_2%7D)
![\dfrac{65^2}{95}=\dfrac{130^2}{r_2}](https://tex.z-dn.net/?f=%5Cdfrac%7B65%5E2%7D%7B95%7D%3D%5Cdfrac%7B130%5E2%7D%7Br_2%7D)
On solving we get :
![r_2=380\ m](https://tex.z-dn.net/?f=r_2%3D380%5C%20m)
So, the radius of the curve that Car 2 travels on is 380 meters. Hence, this is the required solution.
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Answer:
B) 20N.s is the correct answer
Explanation:
The formula for the impulse is given as:
Impulse = change in momentum
Impulse = mass × change in speed
Impulse = m × ΔV
Given:
initial speed = 40m/s
Final speed = -60 m/s (Since the the ball will now move in the opposite direction after hitting the bat, the speed is negative)
mass = 0.20 kg
Thus, we have
Impulse = 0.20 × (40m/s - (-60)m/s)
Impulse = 0.20 × 100 = 20 kg-m/s or 20 N.s
The resistance of the lamp plugged in to a standard wall outlet with a current of 0.5 amps is 240 Ω (ohms)
Explanation:
In the United States Of America the standard voltage is 120 v and their frequency is 60 Hz
Standard wall outlet voltage is 120 V
The current in the lamp is 0.5 ampere
Resistance (R) = V/ I
= 120/0.5
= 240Ω (ohms)
Thus the resistance of the lamp plugged in to a standard wall outlet with a current of 0.5 amps is 240 Ω (ohms).
You can mark, lift and clean a ball on the green, but it's a violation to do so when another ball is in motion, as your ball might influence the outcome of that stroke. You can also mark and clean your ball in some instances when it's off the green: cleaning it, for example, just to the point where you can identify it.