2.(a) Ball A is released from rest. It collides with the stationary ball B with a...

Free

60.1K

Verified Solution

Question

Physics

2.(a) Ball A is released from rest. It collides with thestationary ball B with a velocity 3.2 m/s;immediately after the collision ball A travels inthe same direction with velocity 2.3 m/s.Â Â Â
Ball A has mass 0.26 kg; ball B has mass 0.07 kg.
Calculate
(i) the velocity of ball B immediately afterthe collision..
(ii) the maximum height reached by ball B.
(b) A driver is travelling at a constant speed of 15.4 m/s in a1800 kg car.
At this speed he then enters a large empty car park, and makes aU-turn, travelling in a complete half-circle of radius r.
The friction force between the tyres and the ground is 12.4kN.
Calculate r.

Answer & Explanation Solved by verified expert

4.2 Ratings (781 Votes)

ball A mass = 0.26 kg

ball B mass = 0.07 kg

i) during collision momentum is conserved

momentum before collisionÂ Â = momentum after collision

lets take the velocity of ball B after collision be v

0.26(3.2) + 0.07(0) = 0.26(2.3) + 0.07(v)

0.07(v) = 0.26( 3.2-2.3)

v = 3.343 m/sec

ii) maximum height reached by the ball B after collision is = v*v/2*g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.57 mts

b) mass of vehicle = 1800 kg

speed of vehicle is = 15.4 m/sec

frictional force is balanced by centripetal force

frictional forceÂ Â Â Â Â Â Â Â Â Â =Â Â Â m*v*v/r

12400Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1800* 15.4*15.4Â Â /r

rÂ Â Â Â Â Â Â Â Â =Â Â 1800*15.4*15.4/12400

radius (r)Â Â = 34.43 mtsÂ Â Â Â

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member