A). Find the two locations where an object can be placed in front of a concave mirror with a radius of curvature of 36cm such that its image is twice its size. answer in cm

B). In the case when the object is placed closer to the mirror, state whether the image is real or virtual, upright or inverted.

C). In the case when the object is placed farther to the mirror, state whether the image is real or virtual, upright or inverted.

Two identical + 9.0 μC point charges are initially 3.5 cm from each other.

If they are released at the same instant from rest, how fast will each be moving when they are very far away from each other? Assume they have identical masses of 3.0 mg .

Express your answer using two significant figures.

You're driving down the highway late one night at 20m/s when a deer steps onto the road 54 m in front of you. Your reaction time before stepping on the brakes is 0.50s, and the maximum deceleration of your car is 10m/s2.

Part A How much distance is between you and the deer when you come to a stop? Express your answer to two significant figures and include the appropriate units.

s =

Part B What is the maximum speed you could have and still not hit the deer? Express your answer to two significant figures and include the appropriate units.

v=

1)If the coefficient of kinetic friction between tires and dry pavement is 0.800, what is the shortest distance in which an automobile can be stopped by locking the brakes when traveling at 26.0m/s ?

2)On wet pavement the coefficient of kinetic friction may be only 0.250. How fast should you drive on wet pavement in order to be able to stop in the same distance as in part A? (Note: Locking the brakes is not the safest way to stop.)

4. A uniformly charged dielectric solid sphere of radius a = 8 cm carries a total charge Q = 5 μC. Let the potential be zero an infinite distance away.

5. a) [26.6] What is the potential at the surface of the sphere?

6. b) [26.9] Sketch the graph of the potential due to the sphere from r = 0 to r = 20 cm.

7. c) [26.3] What work must be done to bring a 0.2 μC point charge from infinity to a point 16 cm from the center of the sphere?

A flat, solid cylindrical grinding wheel with a diameter of 24.2 cm is spinning at 3000 rpm when its power is suddenly turned off. A workman continues to press his tool bit toward the wheel's center at the wheel's circumference so as to continue to grind as the wheel coasts to a stop.

If the wheel has a moment of inertia of 4.99 kg⋅m2 , the necessary torque (116 m*N ) must be exerted by the workman to bring it to rest in 13.5 s .

If the coefficient of kinetic friction between the tool bit and the wheel surface is 0.800, how hard must the workman push on the bit?(in newtons)

1.You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 18,000 km and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 X 10⁸ km from its star with a period of 402 earth days. Once on the surface you find that the free-fall acceleration is 12.2 m/s².

What is the mass of the planet?

What is the mass of the star?

2.In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 2.7 X 10¹⁶ kg and a radius of 5.8 km.

What is the speed of a satellite orbiting 3.4 km above the surface?

What is the escape speed from the asteroid?

The cue ball collides with the 8-ball on a pool table. Before the collision, the 8-ball was stationary, and the cue ball was moving east with a speed of 9 m/s . After the collision, the 8-ball moves at an angle of 45 ∘ south of east with a speed of 4 m/s . Right after the collision, what is the component of the cue ball's velocity that points east? You may assume the two balls have the same mass. Right after the collision, what is the component of the cue ball's velocity that points north?

A pilot ejects from his stalled plane with an upward velocity of 17m/s and no horizontal velocity. Calculate his velocity at each time given. (Ignore air resistance for this part) t = 1.0s: ______________ t = 1.7344s: ________________ t = 2.0s: ______________ t = 3.46689s: _______________ t = 227s: ________________

A contact lens is made of plastic with an index of refraction of 1.30. The lens has an outer radius of curvature of +1.96 cm and an inner radius of curvature of +2.56 cm. What is the focal length of the lens?
___cm

A block of mass m = 2.00 kg is released from rest at h = 0.600 m above the surface of a table, at the top of a ? = 40.0

A projectile is launched at an angle of 30 degrees above the horizontal at a speed of 300 m/s. In what direction is it traveling after 3 s? In other words, what is the direction of its velocity vector? (Use |g| = 10 m/s2.)

A 39 g block of ice is cooled to −67◦C. It is added to 518 g of water in an 64 g copper calorimeter at a temperature of 28◦C.

Find the final temperature. The specific heat of copper is 387 J/kg ·◦C and of ice is 2090 J/kg ·◦C . The latent heat of fusion of water is 3.33 × 105 J/kg and its specific heat is4186J/kg·◦C.

Answer in units of ◦C.